Ratio and Proportion

Maths, SSC-KPK Class 9. This chapter is split into 28 topics and has 716 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Review Exercise 14 and unit summary 21 questions
2. Theorem 14.4: sides of similar triangles are proportional 22 questions
3. Similar triangles: finding unknown sides (Part 2) 25 questions
4. Angle bisector theorem: numerical problems (Part 1) 28 questions
5. Ratio of areas of similar figures 30 questions
6. Angles of a triangle in a given ratio (Exercise 14.1 Q1-2) (Part 3) 25 questions
7. Applying Theorem 14.1: lengths when DE is parallel to BC 30 questions
8. Angle bisector theorem: numerical problems (Part 2) 28 questions
9. Theorem 14.1: statement, given and to prove 21 questions
10. Proportion: definition and notation 21 questions
11. Ratio: meaning, terms and notation 30 questions
12. Finding the unknown term of a proportion (Part 1) 21 questions
13. Exercise 14.1: similarity and proportional-segments questions 20 questions
14. Angles of a triangle in a given ratio (Exercise 14.1 Q1-2) (Part 2) 25 questions
15. Theorem 14.2: converse of the proportional segments theorem 24 questions
16. Similar triangles: definition and correspondence 30 questions
17. Finding the unknown term of a proportion (Part 2) 21 questions
18. Conditions for similarity of triangles (AA, SSS, SAS) 27 questions
19. Similar triangles: finding unknown sides (Part 1) 26 questions
20. Properties of proportion: invertendo, alternendo, componendo, dividendo 30 questions
21. Corollaries of Theorem 14.1 27 questions
22. Angles of a triangle in a given ratio (Exercise 14.1 Q1-2) (Part 1) 26 questions
23. Dividing a quantity in a given ratio 30 questions
24. Ratio word problems (Review Exercise 14, Q1 iii) 28 questions
25. Midpoint segments and lines through midpoints (Review Exercise 14) 30 questions
26. Ratios of quantities with different units 24 questions
27. Theorem 14.3: internal bisector of an angle of a triangle 21 questions
28. Testing parallelism with Theorem 14.2 25 questions